Limits of space-times in five dimensions and their relation to the Segre Types

Abstract

A limiting diagram for the Segre classification in 5-dimensional space-times is obtained, extending a recent work on limits of the energy-momentum tensor in general relativity. Some of Geroch's results on limits of space-times in general relativity are also extended to the context of five-dimensional Kaluza-Klein space-times.

Latex

References in corpus (6)

• On limits of spacetimes -- a coordinate-free approach
• On the limits of Brans-Dicke spacetimes: a coordinate-free approach
• On the Algebraic Structure of Second Order Symmetric Tensors in 5-Dimensional Space-times
• Classification of Second Order Symmetric Tensors in 5-Dimensional Kaluza-Klein-Type Theories
• Limits of the energy-momentum tensor in general relativity
• 5D Generalized Inflationary Cosmology

Cited by in corpus (3)

• The Levi-Civita spacetime as a limiting case of the Gamma spacetime
• An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion
• A Note on Segre Types of Second Order Symmetric Tensors in 5-D Brane-world Cosmology